Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
288 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 89 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #19127439 | C2 | semidirect |
| 5. C22×Dic166 | C4 | semidirect |
| 8. #14581771 | C4 | semidirect |
| 11. C2×C4⋊Dic83 | C4 | semidirect |
| 99. C83 | #1520 | semidirect |